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Simplifying 3(2x + 18) + -3(x + -2) = 84 Reorder the terms: 3(18 + 2x) + -3(x + -2) = 84 (18 * 3 + 2x * 3) + -3(x + -2) = 84 (54 + 6x) + -3(x + -2) = 84 Reorder the terms: 54 + 6x + -3(-2 + x) = 84 54 + 6x + (-2 * -3 + x * -3) = 84 54 + 6x + (6 + -3x) = 84 Reorder the terms: 54 + 6 + 6x + -3x = 84 Combine like terms: 54 + 6 = 60 60 + 6x + -3x = 84 Combine like terms: 6x + -3x = 3x 60 + 3x = 84 Solving 60 + 3x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 3x = 84 + -60 Combine like terms: 60 + -60 = 0 0 + 3x = 84 + -60 3x = 84 + -60 Combine like terms: 84 + -60 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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